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2158052120 = 235729711351
BaseRepresentation
bin1000000010100001…
…0100001100011000
312120101202101222022
42000220110030120
513404430131440
6554050314012
7104323066100
oct20050241430
95511671868
102158052120
11a08189554
12502888908
13285135323
1416687c200
15c96d2cb5
hex80a14318

2158052120 has 96 divisors (see below), whose sum is σ = 5707104480. Its totient is φ = 732211200.

The previous prime is 2158052107. The next prime is 2158052147. The reversal of 2158052120 is 212508512.

It is a self number, because there is not a number n which added to its sum of digits gives 2158052120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184445 + ... + 195795.

It is an arithmetic number, because the mean of its divisors is an integer number (59449005).

Almost surely, 22158052120 is an apocalyptic number.

2158052120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853552240).

2158052120 is an abundant number, since it is smaller than the sum of its proper divisors (3549052360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2158052120 is a wasteful number, since it uses less digits than its factorization.

2158052120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11473 (or 11462 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 2158052120 is about 46454.8395756567. The cubic root of 2158052120 is about 1292.2721249114.

The spelling of 2158052120 in words is "two billion, one hundred fifty-eight million, fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 97 98 140 194 196 245 280 388 392 485 490 679 776 970 980 1358 1940 1960 2716 3395 3880 4753 5432 6790 9506 11351 13580 19012 22702 23765 27160 38024 45404 47530 56755 79457 90808 95060 113510 158914 190120 227020 317828 397285 454040 556199 635656 794570 1101047 1112398 1589140 2202094 2224796 2780995 3178280 4404188 4449592 5505235 5561990 7707329 8808376 11010470 11123980 15414658 22020940 22247960 30829316 38536645 44041880 53951303 61658632 77073290 107902606 154146580 215805212 269756515 308293160 431610424 539513030 1079026060 2158052120